1225280 has 56 divisors (see below), whose sum is σ = 3340608. Its totient is φ = 419328.

The previous prime is 1225261. The next prime is 1225283. The reversal of 1225280 is 825221.

1225280 is nontrivially palindromic in base 3.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1225280² = 3002622156800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1225283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1967 + ... + 2513.

2^1225280 is an apocalyptic number.

1225280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670304).

1225280 is an abundant number, since it is smaller than the sum of its proper divisors (2115328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1225280 is an equidigital number, since it uses as much as digits as its factorization.

1225280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 1225280 is about 1106.9236649381. The cubic root of 1225280 is about 107.0068997210.

It can be divided in two parts, 1225 and 280, that multiplied together give a cube (343000 = 70³).

The spelling of 1225280 in words is "one million, two hundred twenty-five thousand, two hundred eighty".